Generation of lrreducible Representations in the O(6) Limit of the IBM : Nuclear Physics

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概要

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• An operator that can generate excited irreducible representations in the O(6) limit of the interacting boson model is proposed. This operator is a quasispin vector of the boson realization of the SU(1, 1) algebra. This operator is coupled to the |[N], σ = N> ground state of the O(6) system by using an SU(1, 1) Wigner coefficient so as to generate the excited irreducible representation |[N], σ = N - 2>. Any representation of an O(6)-type system can be generated by repeated actions of this operator, and any state of this representation can be generated by the subsequent repeated actions of the quadrupole operator on the state generated by the former operator. The general form of the operator for any value of σ has been given. Another approach, which uses the commutator of the O(6) Casimir operator with the boson number operators as well as the double commutator, is also presented.

• 理論物理学刊行会の論文
• 1999-06-25

著者

• Gelberg Adrian

  Institut Fur Kernphysik Universitat Zu Koln:graduate School Of Science University Of Tokyo

• Gelberg Adrian

  Institut Fur Kernphysik Universitat Zu Koln

• IACHELLO Franco

  Center for Theoretical Physics, Sloane Physics Laboratory Yale University

• OTSUKA Takaharu

  Graduate School of Science, University of Tokyo

• JOLOS Rostislav

  Institut fur Kernphysik, Universitat zu Koln

• Jolos Rostislav

  Institut Fur Kernphysik Universitat Zu Koln:bogoliubov Laboratory Of Theoretical Physics Joint Insti

• Iachello F

  Center For Theoretical Physics Sloane Physics Laboratory Yale University

• Otsuka T

  Department Of Physics And Center For Nuclear Study University Of Tokyo:riken

• Iachello Franco

  Center For Theoretical Physics Sloane Physics Laboratory Yale University

• Otsuka Takaharu

  Graduate School Of Science University Of Tokyo

• JOLOS Rostislav

  Institut fur Kernphysik, Universitat zu Koln:Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

• OTSUKA Takaharu

  Department of Physics and Center for Nuclear Study (CNS), University of Tokyo:RIKEN

• OTSUKA Takaharu

  Department of Physics, University of Tokyo:Center for Nuclear Study, University of Tokyo:RIKEN

• OTSUKA Takaharu

  Department of Physics, University of Tokyo:The Institute of Physical and Chemical Research (RIKEN)

関連論文

• Generation of lrreducible Representations in the O(6) Limit of the IBM : Nuclear Physics
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